201025680 has 160 divisors (see below), whose sum is σ = 682992000. Its totient is φ = 48685056.

The previous prime is 201025679. The next prime is 201025703. The reversal of 201025680 is 86520102.

It is a super-2 number, since 2×201025680² = 80822648038924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 201025680.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117471 + ... + 119169.

It is an arithmetic number, because the mean of its divisors is an integer number (4268700).

Almost surely, 2^201025680 is an apocalyptic number.

201025680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201025680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341496000).

201025680 is an abundant number, since it is smaller than the sum of its proper divisors (481966320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201025680 is a wasteful number, since it uses less digits than its factorization.

201025680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 201025680 is about 14178.3525136033. The cubic root of 201025680 is about 585.8015457087.

Adding to 201025680 its reverse (86520102), we get a palindrome (287545782).

The spelling of 201025680 in words is "two hundred one million, twenty-five thousand, six hundred eighty".